New results for fractional differential equations with impulses via variational methods

Li, Peiluan¹ ; Wang, Hui² ; Li, Zheqing³

¹ School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, 471023, China
² College of Information Engineering, Henan University of Science and Technology, Luoyang, 471003, China
³ Network and Information Center, Henan University of Science and Technology, Luoyang, 471003, China

Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 3, p. 990-1003.

Résumé

By using variational methods and some critical points theorems, we establish some new results for the existence of infinitely many of solutions for fractional order differential equations with impulses. In addition, one example is given to illustrate our results.

Détail

DOI : 10.22436/jnsa.010.03.11

Classification : 26A33, 34B37, 34K10
Keywords: Fractional differential equations, impulses, infinitely many solutions, critical points theorem.

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